Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods

One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability PD expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass p...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Computer aided design 2013-12, Vol.45 (12), p.1547-1555
Hauptverfasser: Beaucaire, Paul, Gayton, Nicolas, Duc, Emmanuel, Dantan, Jean-Yves
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1555
container_issue 12
container_start_page 1547
container_title Computer aided design
container_volume 45
creator Beaucaire, Paul
Gayton, Nicolas
Duc, Emmanuel
Dantan, Jean-Yves
description One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability PD expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass production. This paper focuses on the statistical tolerance analysis of over-constrained mechanisms containing gaps. In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations. To compute PD, an innovative methodology using system reliability methods is presented. This new approach is compared with an existing one based on an optimization algorithm and Monte Carlo simulations. The whole approach is illustrated using two industrial mechanisms: one inspired by a producer of coaxial connectors and one prismatic pair. Its major advantage is to considerably reduce computation time. •Gaps cannot be considered as random variables.•The tolerance analysis issue is formulated thanks to the quantifier notion.•Two defect probabilities are defined: functionality defect probability and assembly defect probability.•Defect probabilities are computed using a system reliability method: FORM system.
doi_str_mv 10.1016/j.cad.2013.06.011
format Article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02519416v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S001044851300119X</els_id><sourcerecordid>1671494209</sourcerecordid><originalsourceid>FETCH-LOGICAL-c407t-644bfd567a472af4f5b9bf5c23925e80a1314e3d49a09125cae2a74a78ae77303</originalsourceid><addsrcrecordid>eNp9kU2L1EAQhoMoOK77A7z1UQ-JVZ3OF56WRV1hwIN6bmo6lU0PSXrs6hmZf78ZZvG4p4LieV-oerLsA0KBgPXnfeGoLzRgWUBdAOKrbINt0-W6bqvX2QYAITemrd5m70T2AKCx7DbZ-CtR8pK8o0mlMHGkxbGihaazeFFhUOHEMXdhkRTJL9yrmd1Ii5dZ1D-fRvVIB1FH8cujkrMknlXkydPOTz6dVzqNoZf32ZuBJuHb53mT_fn29ff9Q779-f3H_d02dwaalNfG7Ia-qhsyjabBDNWu2w2V02WnK26BsETDZW86gg515Yg1NYaalrhpSihvsk_X3pEme4h-pni2gbx9uNvayw50hZ3B-oQr-_HKHmL4e2RJdvbieJpo4XAUi3WDpjMauhXFK-piEIk8_O9GsBcDdm9XA_ZiwEJtVwNr5ss1w-u9J8_RivO8vrf3kV2yffAvpJ8AD6-PVw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1671494209</pqid></control><display><type>article</type><title>Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods</title><source>Elsevier ScienceDirect Journals</source><creator>Beaucaire, Paul ; Gayton, Nicolas ; Duc, Emmanuel ; Dantan, Jean-Yves</creator><creatorcontrib>Beaucaire, Paul ; Gayton, Nicolas ; Duc, Emmanuel ; Dantan, Jean-Yves</creatorcontrib><description>One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability PD expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass production. This paper focuses on the statistical tolerance analysis of over-constrained mechanisms containing gaps. In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations. To compute PD, an innovative methodology using system reliability methods is presented. This new approach is compared with an existing one based on an optimization algorithm and Monte Carlo simulations. The whole approach is illustrated using two industrial mechanisms: one inspired by a producer of coaxial connectors and one prismatic pair. Its major advantage is to considerably reduce computation time. •Gaps cannot be considered as random variables.•The tolerance analysis issue is formulated thanks to the quantifier notion.•Two defect probabilities are defined: functionality defect probability and assembly defect probability.•Defect probabilities are computed using a system reliability method: FORM system.</description><identifier>ISSN: 0010-4485</identifier><identifier>EISSN: 1879-2685</identifier><identifier>DOI: 10.1016/j.cad.2013.06.011</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Computation ; Computer simulation ; Connectors ; Design engineering ; Deviation ; Engineering Sciences ; FORM system ; Gaps ; Mechanics ; Monte Carlo ; Over-constrained mechanisms ; Reliability ; System reliability ; Tolerance analysis ; Tolerances</subject><ispartof>Computer aided design, 2013-12, Vol.45 (12), p.1547-1555</ispartof><rights>2013 Elsevier Ltd</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c407t-644bfd567a472af4f5b9bf5c23925e80a1314e3d49a09125cae2a74a78ae77303</citedby><cites>FETCH-LOGICAL-c407t-644bfd567a472af4f5b9bf5c23925e80a1314e3d49a09125cae2a74a78ae77303</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S001044851300119X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3536,27903,27904,65309</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02519416$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Beaucaire, Paul</creatorcontrib><creatorcontrib>Gayton, Nicolas</creatorcontrib><creatorcontrib>Duc, Emmanuel</creatorcontrib><creatorcontrib>Dantan, Jean-Yves</creatorcontrib><title>Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods</title><title>Computer aided design</title><description>One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability PD expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass production. This paper focuses on the statistical tolerance analysis of over-constrained mechanisms containing gaps. In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations. To compute PD, an innovative methodology using system reliability methods is presented. This new approach is compared with an existing one based on an optimization algorithm and Monte Carlo simulations. The whole approach is illustrated using two industrial mechanisms: one inspired by a producer of coaxial connectors and one prismatic pair. Its major advantage is to considerably reduce computation time. •Gaps cannot be considered as random variables.•The tolerance analysis issue is formulated thanks to the quantifier notion.•Two defect probabilities are defined: functionality defect probability and assembly defect probability.•Defect probabilities are computed using a system reliability method: FORM system.</description><subject>Computation</subject><subject>Computer simulation</subject><subject>Connectors</subject><subject>Design engineering</subject><subject>Deviation</subject><subject>Engineering Sciences</subject><subject>FORM system</subject><subject>Gaps</subject><subject>Mechanics</subject><subject>Monte Carlo</subject><subject>Over-constrained mechanisms</subject><subject>Reliability</subject><subject>System reliability</subject><subject>Tolerance analysis</subject><subject>Tolerances</subject><issn>0010-4485</issn><issn>1879-2685</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kU2L1EAQhoMoOK77A7z1UQ-JVZ3OF56WRV1hwIN6bmo6lU0PSXrs6hmZf78ZZvG4p4LieV-oerLsA0KBgPXnfeGoLzRgWUBdAOKrbINt0-W6bqvX2QYAITemrd5m70T2AKCx7DbZ-CtR8pK8o0mlMHGkxbGihaazeFFhUOHEMXdhkRTJL9yrmd1Ii5dZ1D-fRvVIB1FH8cujkrMknlXkydPOTz6dVzqNoZf32ZuBJuHb53mT_fn29ff9Q779-f3H_d02dwaalNfG7Ia-qhsyjabBDNWu2w2V02WnK26BsETDZW86gg515Yg1NYaalrhpSihvsk_X3pEme4h-pni2gbx9uNvayw50hZ3B-oQr-_HKHmL4e2RJdvbieJpo4XAUi3WDpjMauhXFK-piEIk8_O9GsBcDdm9XA_ZiwEJtVwNr5ss1w-u9J8_RivO8vrf3kV2yffAvpJ8AD6-PVw</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Beaucaire, Paul</creator><creator>Gayton, Nicolas</creator><creator>Duc, Emmanuel</creator><creator>Dantan, Jean-Yves</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20131201</creationdate><title>Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods</title><author>Beaucaire, Paul ; Gayton, Nicolas ; Duc, Emmanuel ; Dantan, Jean-Yves</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c407t-644bfd567a472af4f5b9bf5c23925e80a1314e3d49a09125cae2a74a78ae77303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Computation</topic><topic>Computer simulation</topic><topic>Connectors</topic><topic>Design engineering</topic><topic>Deviation</topic><topic>Engineering Sciences</topic><topic>FORM system</topic><topic>Gaps</topic><topic>Mechanics</topic><topic>Monte Carlo</topic><topic>Over-constrained mechanisms</topic><topic>Reliability</topic><topic>System reliability</topic><topic>Tolerance analysis</topic><topic>Tolerances</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beaucaire, Paul</creatorcontrib><creatorcontrib>Gayton, Nicolas</creatorcontrib><creatorcontrib>Duc, Emmanuel</creatorcontrib><creatorcontrib>Dantan, Jean-Yves</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Computer aided design</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Beaucaire, Paul</au><au>Gayton, Nicolas</au><au>Duc, Emmanuel</au><au>Dantan, Jean-Yves</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods</atitle><jtitle>Computer aided design</jtitle><date>2013-12-01</date><risdate>2013</risdate><volume>45</volume><issue>12</issue><spage>1547</spage><epage>1555</epage><pages>1547-1555</pages><issn>0010-4485</issn><eissn>1879-2685</eissn><abstract>One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability PD expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass production. This paper focuses on the statistical tolerance analysis of over-constrained mechanisms containing gaps. In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations. To compute PD, an innovative methodology using system reliability methods is presented. This new approach is compared with an existing one based on an optimization algorithm and Monte Carlo simulations. The whole approach is illustrated using two industrial mechanisms: one inspired by a producer of coaxial connectors and one prismatic pair. Its major advantage is to considerably reduce computation time. •Gaps cannot be considered as random variables.•The tolerance analysis issue is formulated thanks to the quantifier notion.•Two defect probabilities are defined: functionality defect probability and assembly defect probability.•Defect probabilities are computed using a system reliability method: FORM system.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.cad.2013.06.011</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0010-4485
ispartof Computer aided design, 2013-12, Vol.45 (12), p.1547-1555
issn 0010-4485
1879-2685
language eng
recordid cdi_hal_primary_oai_HAL_hal_02519416v1
source Elsevier ScienceDirect Journals
subjects Computation
Computer simulation
Connectors
Design engineering
Deviation
Engineering Sciences
FORM system
Gaps
Mechanics
Monte Carlo
Over-constrained mechanisms
Reliability
System reliability
Tolerance analysis
Tolerances
title Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-25T10%3A44%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Statistical%20tolerance%20analysis%20of%20over-constrained%20mechanisms%20with%20gaps%20using%20system%20reliability%20methods&rft.jtitle=Computer%20aided%20design&rft.au=Beaucaire,%20Paul&rft.date=2013-12-01&rft.volume=45&rft.issue=12&rft.spage=1547&rft.epage=1555&rft.pages=1547-1555&rft.issn=0010-4485&rft.eissn=1879-2685&rft_id=info:doi/10.1016/j.cad.2013.06.011&rft_dat=%3Cproquest_hal_p%3E1671494209%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1671494209&rft_id=info:pmid/&rft_els_id=S001044851300119X&rfr_iscdi=true